= x(x + a) + b(x + a)
= (x + a)(x + b) which are the required factors.
Solved examples to factorize the trinomial x square plus px plus q (x^2 + px + q):
1. Resolve into factors:
= x(x
+ 7) - 4(x + 7).
= (x +
7)(x - 4).
= x(x
+ 5) + 3(x + 5).
= (x +
5)(x + 3).
2. Factorize the trinomial:
(i) x^{2} + 15x + 56 = x(x
+ 8) + 7(x + 8)
= (x +
8)(x + 7).
= x(x
+ 8) - 7(x + 8)
= (x +
8)(x - 7).
8th Grade Math Practice
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